{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from captcha.image import ImageCaptcha\n",
    "import numpy as np\n",
    "from PIL import Image\n",
    "import random\n",
    "import sys\n",
    "import os\n",
    "import tensorflow as tf\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']\n",
      "['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z']\n",
      "['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']\n"
     ]
    }
   ],
   "source": [
    "number = [str(i) for i in range(10)]\n",
    "little = [chr(i) for i in range(97,123)]\n",
    "large = [chr(i) for i in range(65,91)]\n",
    "print(number)\n",
    "print(little)\n",
    "print(large)\n",
    "CHAR_SET = number"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 生成验证码"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      ">> Creating image 10000/10000\n"
     ]
    }
   ],
   "source": [
    "# 随机生成4个字符\n",
    "def random_captcha_text(char_set=number,captcha_size=4):\n",
    "    return ''.join(random.choices(CHAR_SET,k=4))\n",
    "\n",
    "# 生成字符对应的验证码\n",
    "def gen_captcha_text_and_image(path):\n",
    "    image_ = ImageCaptcha()\n",
    "    captcha_text = random_captcha_text()\n",
    "    captcha = image_.generate(captcha_text)\n",
    "    image_.write(captcha_text, path + captcha_text + '.jpg')\n",
    "\n",
    "path = 'captcha/images/'\n",
    "num = 10000\n",
    "\n",
    "if not os.path.exists(path):\n",
    "    os.makedirs(path)\n",
    "for i in range(num):\n",
    "    gen_captcha_text_and_image(path)\n",
    "    sys.stdout.write('\\r>> Creating image %d/%d' % (i+1,num))\n",
    "    sys.stdout.flush()\n",
    "sys.stdout.write('\\n')\n",
    "sys.stdout.flush()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 生成tfrecord"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      ">> Converting image 5831/5831\n",
      ">> Converting image 500/500\n"
     ]
    }
   ],
   "source": [
    "_NUM_TEST = 500\n",
    "\n",
    "_RANDOM_SEED = 2\n",
    "\n",
    "DATA_DIR = 'captcha/images/'\n",
    "\n",
    "TFRECORD_DIR = 'captcha/'\n",
    "\n",
    "def _tfdata_exists(dataset_dir):\n",
    "    for split_name in ['train','test']:\n",
    "        tf_name = os.path.join(dataset_dir,split_name + '.tfrecord')\n",
    "        if not tf.gfile.Exists(tf_name):\n",
    "            return False\n",
    "    return True\n",
    "\n",
    "def _get_filenames(dataset_dir):\n",
    "    captcha_names = []\n",
    "    for filename in os.listdir(dataset_dir):\n",
    "        path = os.path.join(dataset_dir, filename)\n",
    "        captcha_names.append(path)\n",
    "    return captcha_names\n",
    "\n",
    "def int64_feature(values):\n",
    "    if not isinstance(values, (tuple, list)):\n",
    "        values = [values]\n",
    "    return tf.train.Feature(int64_list=tf.train.Int64List(value=values))\n",
    "\n",
    "def bytes_feature(values):\n",
    "    return tf.train.Feature(bytes_list=tf.train.BytesList(value = [values]))\n",
    "\n",
    "def image_to_tfexample(image_data,label0,label1,label2,label3):\n",
    "    return tf.train.Example(features=tf.train.Features(feature={\n",
    "     'image': bytes_feature(image_data),\n",
    "        'label0':int64_feature(label0),\n",
    "        'label1':int64_feature(label1),\n",
    "        'label2':int64_feature(label2),\n",
    "        'label3':int64_feature(label3)\n",
    "    }))\n",
    "\n",
    "# 数据转换为record格式\n",
    "def _convert_dataset(split_name, filenames, tfrecord_dir):\n",
    "    assert split_name in ['train','test']\n",
    "    \n",
    "    with tf.Session() as sess:\n",
    "        out_tfnames = os.path.join(tfrecord_dir, split_name + '.tfrecord')\n",
    "        with tf.python_io.TFRecordWriter(out_tfnames) as tf_writer:\n",
    "            for i,filename in enumerate(filenames):\n",
    "                try:\n",
    "                    sys.stdout.write('\\r>> Converting image %d/%d' % (i+1,len(filenames)))\n",
    "                    sys.stdout.flush()\n",
    "                    \n",
    "                    image_data = Image.open(filename)\n",
    "                    image_data = image_data.resize((224,224))\n",
    "                    image_data = image_data.convert('L').tobytes()\n",
    "                    \n",
    "                    # 拿到4位验证码并encode()\n",
    "                    labels = filename.split('/')[-1][:4]\n",
    "                    \n",
    "                    example = image_to_tfexample(image_data, int(labels[0]), int(labels[1]), int(labels[2]), int(labels[3]))\n",
    "                    tf_writer.write(example.SerializeToString())\n",
    "                \n",
    "                except IOError as e:\n",
    "                    print('Wrong: ' + filename)\n",
    "                    print('Error: ',e)\n",
    "                    print('Skip it\\n')\n",
    "    sys.stdout.write('\\n')\n",
    "    sys.stdout.flush()\n",
    "    \n",
    "if _tfdata_exists(TFRECORD_DIR):\n",
    "    print('tf文件已存在')\n",
    "else:\n",
    "    photo_filenames = _get_filenames(DATA_DIR)\n",
    "    \n",
    "    random.seed(_RANDOM_SEED)\n",
    "    # 打乱文件\n",
    "    random.shuffle(photo_filenames)\n",
    "    training_filenames = photo_filenames[_NUM_TEST:]\n",
    "    testing_filenames = photo_filenames[:_NUM_TEST]\n",
    "    \n",
    "    _convert_dataset('train', training_filenames, TFRECORD_DIR)\n",
    "    _convert_dataset('test', testing_filenames, TFRECORD_DIR)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## 查看自己转换的是否正确"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 定义一个解读函数\n",
    "def read_and_decode(filename_quene, batch_size, shuffle_batch=True):\n",
    "    reader = tf.TFRecordReader()\n",
    "    _, serialized_example = reader.read(filename_quene)\n",
    "    features = tf.parse_single_example(serialized_example,\n",
    "                                      features={\n",
    "                                          'image':tf.FixedLenFeature([], tf.string),\n",
    "                                          'label0':tf.FixedLenFeature([], tf.int64),\n",
    "                                          'label1':tf.FixedLenFeature([], tf.int64),\n",
    "                                          'label2':tf.FixedLenFeature([], tf.int64),\n",
    "                                          'label3':tf.FixedLenFeature([], tf.int64)\n",
    "                                      })\n",
    "    image = tf.decode_raw(features['image'], tf.int8)\n",
    "    image = tf.reshape(image, [224,224])\n",
    "    label0 = tf.cast(features['label0'], tf.int32)\n",
    "    label1 = tf.cast(features['label1'], tf.int32)\n",
    "    label2 = tf.cast(features['label2'], tf.int32)\n",
    "    label3 = tf.cast(features['label3'], tf.int32)\n",
    "    \n",
    "# 随机抽取数据的代码应该写在函数外面，否则每抽取一次数据，就要载入一次tfrecord文件，会报异常\n",
    "#     if shuffle_batch:\n",
    "#         images, labels0, labels1, labels2, labels3 = tf.train.shuffle_batch([image, label0, label1, label2, label3],\n",
    "#                                                batch_size=batch_size,\n",
    "#                                                capacity=100,\n",
    "#                                                num_threads=4,\n",
    "#                                                min_after_dequeue=20)\n",
    "#     else:\n",
    "#         images, labels0, labels1, labels2, labels3 = tf.train.batch([image, label0, label1, label2, label3],\n",
    "#                                         batch_size=batch_size,\n",
    "#                                         capacity=100,\n",
    "#                                         num_threads=4,\n",
    "#                                         min_after_dequeue=20)\n",
    "    return image, label0, label1, label2, label3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def show_tfrecord(tf_name, batch_num,batch_size):\n",
    "    filename_queue = tf.train.string_input_producer([tf_name])\n",
    "    images, labels0, labels1, labels2, labels3 = read_and_decode(filename_queue,batch_size)\n",
    "    images_b, labels0_b, labels1_b, labels2_b, labels3_b = tf.train.shuffle_batch([images, labels0, labels1, labels2, labels3],\n",
    "                                                                                   batch_size=batch_size,\n",
    "                                                                                   capacity=100,\n",
    "                                                                                   num_threads=1,\n",
    "                                                                                   min_after_dequeue=20)\n",
    "    init_op = tf.group(tf.global_variables_initializer(),\n",
    "                      tf.local_variables_initializer())\n",
    "    with tf.Session() as sess:\n",
    "        sess.run(init_op)\n",
    "        coord = tf.train.Coordinator()\n",
    "        threads = tf.train.start_queue_runners(coord=coord)\n",
    "        \n",
    "        for i in range(batch_num):\n",
    "            img_, label0_, label1_, label2_, label3_ = sess.run([images_b, labels0_b, labels1_b, labels2_b, labels3_b])\n",
    "            print('batch' + str(i) + ':')\n",
    "            for j in range(batch_size):\n",
    "                print(label0_[j],label1_[j],label2_[j],label3_[j])\n",
    "                plt.imshow(img_[j],cmap='gray')\n",
    "                plt.show()\n",
    "        coord.request_stop()\n",
    "        coord.join(threads)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "batch0:\n",
      "3 3 5 2\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 2 2 5\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 2 7 7\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJcT/Bz5BE7DkeihBAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "batch1:\n",
      "8 5 1 7\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8CCLgiAIHmRREATBgywKgiB4+P89Mf/JFGC2AwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9 9 2 0\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 1 4 2\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "batch2:\n",
      "9 0 2 8\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nUZQA/x/kO4HmG9hzfwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3 8 9 5\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJztnXtwXNWZ4H+n1Wq1uvWwLMmyZFmx\nFCEIDz9hNJQnhBAgGQriDCmGMJSHnUBMpkI5yTIpYLK1O7WpJLuZDRAmTxJCwCGJwwDBIYQBkrAB\nx3ixgfhtY8sv2bIst1tSt1pSu9Vn/7h9DvfKkt2SWu7W8P2qVLr39H1897Z8fL630lojCIJg8OVb\nAEEQCguZFARB8CCTgiAIHmRSEATBg0wKgiB4kElBEAQP0zYpKKU+ppTarZTaq5S6d7ruIwhCblHT\nEaeglCoC9gDXAJ3AG8AtWusdOb+ZIAg5ZbpWCn8B7NVad2itk8AvgBXTdC9BEHKIf5quOw847Nrv\nBNrHO7impkYvWLBgmkQRBAFg8+bNJ7TWtWc7bromBTXGmEdPUUqtAlYBNDU1sWnTpmkSRRAEAKXU\nwWyOmy71oROY79pvBI66D9BaP6y1vlRrfWlt7VknL0EQzhHTNSm8AZynlGpWSgWATwHrpulegiDk\nkGlRH7TWKaXUXcB/AEXAj7XW26fjXsLMJR6P222fz0csFhvzuEQiwcDAAAAbNmyw4xdffDH79+9n\n4cKFAJSWlnLixAkAduzYwdVXX838+fNPv6BwRqbLpoDW+nng+em6viAI04NENAqC4GHaVgqCMB5G\nbeju7ua1115jyZIl+Hy+01QDgG3bthGLxRgaGgLwqBgdHR2Ul5fT0dEBQDAY5MCBAwAEAgGWLVsm\n6sMkkJWCIAgeZFIQBMGDTAqCIHgQm4Jwzunt7QXgmWeeoa+vj8OHD5/mkjR2AnBckuPh/mxwcNDa\nHmpqaigvL8+16O8JZKUgCIIHmRQEQfAgk4IgCB7EpjCNJJNJIpEIAJFIxOrM1dXV9qfQGK2/h0Kh\nnN/DxCn09fXR3d1NaWnplK43MjICQDqdpqqqCoCbbrrJbgsTQ1YKgiB4kElBEAQPoj5MA/39/QDs\n2bOHP//5zwCsX7/eZvqVl5ezcuVKmpqaAEedqKioyI+wLhKJBN3d3QBs3LiR9vZ26urqgNypEYlE\nwroNU6kUPt+7/y+dOnXqtOPdn4OjIoz+3Iyl02lmzZoFQFVVld0WJoasFARB8CCTgiAIHiatPiil\n5gOPA3OBNPCw1vpbSql/AT4D9GQO/edMbYUz4rZ6J5NJAKLRKMePH6eoqMgR1v+uuOl0Gp/PZy34\nlZWVBbEEB6zH4V//9V+t7IODg/bzZDLJt771LZYuXQrAbbfdllfZzbvv7u7m17/+tR3fuHEjH//4\nx3N6r4GBATZv3gw46oPf72d4eJhkMunJhCwuLgagpKSEoaEhgsGgvYbxXoRCIYqKiqzakUqlqKys\nBN79Gyo0zubdORfen7MxFZtCCrhba/2mUqoc2KyUeinz2QNa6/8zdfEEQTjXTHpS0Fp3AV2Z7ZhS\naidOaXdBEGYwObEpKKUWAEuAjZmhu5RSW5RSP1ZKSQSJIMwgpuySVEqVAU8BX9Ba9yulvgd8BafP\nw1eAbwKfHuM8T9+HdeucYs/t7e028m/NmjXs2bPHuqXq6+vtdnd3N1VVVZgmMtdeey1lZWWUlZVR\nUVGRNx19aGiI48ePA45+aHTj0tJSysrKAEf3PXXqFHv37gUc16Wxl5SXl9vjzjUbN2707Le3j9u/\nZ1LE43EOHjxoqyP19fVRWlpKIpGgo6ODvr4+wLEdmQKsAPPmzePYsWMAFBcXW7vBiRMnqKystNmQ\nsVjMfmZ+Fwpuu415z8bla+wG47mEz7VdYUorBaVUMc6E8ITW+mkArXW31npEa50GfojTQu40pO+D\nIBQmk54UlFIKeATYqbW+3zVe7zrsb4BtkxdPEIRzzVTUh+XASmCrUurtzNg/A7copRbjqA8HgDun\nJKEgCOeUqXgfXmPsnpET7vVw+PBhq4dv3LjRhtbu2bOH7du341YvjL/f5/ORSqVIpVKAo0/6/X58\nPh9XXXWVDSGuqKg4p9mIQ0ND7NmzB3BCbY1/3efzWXuI3++nrq6OQCAAwIsvvmh999dffz11dXV5\nyaBsb28fV9/NBbFYjBdeeIE33ngDgLlz59qKSz09PTZcubKykpqaGgCKioqsPQGc+BRjbygqKiIe\nj9v3eP7553Pnnc7/Qfmyy4yF21YwVhzIuYwTyQaJaBQEwYNMCoIgeJBJQRAEDwWXOt3e3m51yMrK\nSi655BLrh/b5fB77gomdBydPIplMkkqleOSRR6yeeeONN3L++ecDTorydKXTmnTpQ4cOWf2xrKzM\n2hHS6bS1f5hnMTp0X1+fjc34xje+werVq+1xubQtpFIpT1NXv99PWVmZtRvU1dV5dNhc+8ej0Sg9\nPT02hTyZTOLz+Th27Bg+n892c1q1apW1xTz33HNcfvnl/Pa3vwVAa811111nPwNYuXIlAG1tbfZ9\nFVpVq9ExIHB6HMh0x4lki6wUBEHwIJOCIAgelNY63zJQV1enX3/9dbNtl98vvPCCp+loIBCwS+5U\nKsXw8LBNTTZL9XQ6TV9fHz09TuZ2Op3mggsuAOCOO+6gubl5WpaWhw8fBuBHP/oRb7/thG3MmzfP\npvDGYjGi0aiV3e/3M3fuXPtchkQigdaa++67D4AFCxbkLGQ7kUjw5z//2cq3fPly5s2bd86W2lu2\nbOHb3/62ddm2tLQwODhIV1cXF154IZdddhkA11xzjaeYq0lFH49CVRkMY4UvA9blm00IdC5QSm3W\nWl96tuNkpSAIggeZFARB8CCTgiAIHgrCJTl//nxP1WC3juj3++ns7LTHhsNhAHp6ejhy5IjVuRYu\nXEhlZSWBQIDy8nJraxgYGGDXrl0AfP/73+e+++7Lue7Z399vG6Ju3brVuhdTqZTVh7du3Wrdlj6f\nj9LSUqtnLlq0yIblptNp/H4/P//5zwH47Gc/mxObQm9vL4cOHWLz5s1s2rQJgA0bNvC5z33OypFK\npez7ra2tzXn6eSqVYmhoyLqY/X4/5eXlKKVYsmQJH/vYxwBveDgUrq0gW0KhkP37Hsvle65cwtki\nKwVBEDzIpCAIggeZFARB8FAQNgXw6k/Gb9/W1sbmzZvp7e0FHL3Y6KN9fX00NzfbcxKJBI2NjUSj\nUVKplNVJTRlwcPzAe/futaHOudJV+/v7eeGFF6yMJhQ7mUzaVO+amhoaGxs95xnbgzv91/itTZzF\noUOHbGmxqYRo9/X1sWbNGt566y0bAzBv3jyefvppe/09e/ZY2W+99Vbmz5+fk3dk7Co9PT1Eo1H7\nXQcCAcLhMFdeeSXLly+3DWHd9oRzjbvEei51+myulS8bwmhkpSAIgodcFG49AMSAESCltb5UKTUb\nWAsswKm+9Lda6+hU7yUIwvSTq5XCh7XWi10hlPcCv9Nanwf8LrMvCMIMYLpsCiuAKzPbjwGvAPdk\ne7LRKevq6mhtbbUpteeff74tW3b77beTSqXYuXMnAB/4wAfYs2cPb731FtFo1NoR3OXeI5EITz31\nFG1tbUDubAqJRMLmZPj9fkpKSgAnRsKUeF+9erW1gfh8PuLxOL/5zW8A+NOf/mRbn9XW1uL3+23O\nxLp162xpucnaFEyMQnd3N+Fw2L7foaEh0uk0XV1dgNP1efv27QB897vf5Z577snJOzI2occee4ye\nnh6PLaiyspKlS5dSX1/vyQE51xhbwrp1607LTXivkYuVggZeVEptzvRyAKjLdJAynaTmjD5JKbVK\nKbVJKbXJGNUEQcg/uVgpLNdaH1VKzQFeUkrtyuYkrfXDwMMAl156af5TNQVBAHIwKWitj2Z+H1dK\nPYPT/KVbKVWvte7K9IE4Pplrl5eXn1bN9vLLL7fbPp/P7g8MDHDhhReyePFinnzySfbt22ePMYRC\nIYaGhmxIcq4qPadSKXsfn89nq0Elk0m7/Gxra+PSS9/NWk0kEtb9d+zYMStTWVkZVVVVtgPzyMiI\n7Zw0UcySuLOzk8cee4xgMIjP5/N0ZDadtgxG7Tp06FDO3LemUncsFmNwcBCnZci7KeQ+ny/vqoMJ\n9T5+/LhNX85HJeVCYKodosKZjtMopcLAtTjNX9YBt2UOuw14dir3EQTh3DHVlUId8Exm5vcDP9Na\nv6CUegP4pVLqduAQcNMU7yMIwjliSpOC1roDWDTGeAT4yFSuDdiGsdlglunhcJi5c+eydetWwLEm\nm4Kp4XCYoaEhnnrqKcCp/JML9cFtwQ+FQlaVOHToEK2trePKa7wKn//853nwwQcBR2Xy+XzWQ9Df\n32/Vh0gkMiF5TYHUV155xUZXJpNJG0k5a9YsWlpabKNbk8kHTpHVJ5980noKcuWpqaqq8kRvmkzJ\nfOMumpqvgqmFgkQ0CoLgQSYFQRA8yKQgCIKHgsmSzBUmgtG4BV999VUOHToEQElJCVpr66o7cOCA\ndcdNJQMxnU7b6wwODlqbQklJia1k5Hb7Gcw9W1tbbQOYp59+moGBAXuNZDLJE088AcCXvvSlCen2\npnq0O/Ovu7ubkZERe1+lFB/96EcBWL9+vXUXlpaW0tfXZ6+RC4qLi0/LgFy+fHlB2BTcdgR3FbD3\nIrJSEATBg0wKgiB4+E+nPhjMknTFihXcf//9gBNtGA6HrUsuF8lG4KgGZlk/PDxsXaC1tbXccsst\nZ71+dXW1LXQSDAaJRqN2mT0wMGBdkibCMFsVwkRFdnR02EhLv9/PjTfeCEBXVxc1NTUcPXrUnmOa\nA/n9fsLhsI1wnAomQWz27NkAtvBMIpGgpKQka7fzdOEurGr238vISkEQBA8yKQiC4EEmBUEQPMwo\nm4LbtQZn1v2MDl9TU8PSpUsB2LFjh21CC06Dlt27d9vjJxvKW1lZaRuZrF271toAysvLs84yNDLF\n43G7DY4bz7gF165dS2tra9Zymuuk02nS6TTV1dU0Nzdbm4cJYTaZps8//7xtvGMKvRj7y0RDrA39\n/f0MDw8DTqHWsrIymzWZTqftZ/nmvW5HcCMrBUEQPMikIAiCB5kUBEHwMCNsCsaW0N3dbVNc29vb\nsyqsGQ6H7TGm8pAJIY5Gozz66KMAE9LVR1NRUWF97ZWVldYGcOrUKY994EyYuAoTDm0KuQaDQY9t\nwPj4s8GkKNfX17N//34qKiq45ppr7HPu2LGD9vZ2GxPh9/vt+xgaGqK2tpZf/epXwOTfT39/P3/4\nwx8AbBFbU/lpaGjIPqdQOEx6UlBKnY/T28HQAvx3YBbwGcBUY/1nrfXzk5ZQEIRzyqQnBa31bmAx\ngFKqCDgCPAP8A/CA1vr/5ERCQRDOKbmyKXwE2Ke1Ppij6wmCkCdyZVP4FPBz1/5dSqm/BzYBd0+l\nZZy70u6vf/1rO75x48asqu2mUimrW7urB4Oj0xr93zRBnSxG7x8eHrbbqVTKxgQMDQ2dsXGqsSV8\n/OMf55lnnvHIY3T5hQsXeqpTnw2TPh4Ohzl16hQnT56kurralogzv43NJRqN2riKeDzO4OAgLS0t\ngNOg1jTlmQju2JLBwUFSqZR9Nr/fn5PcCiG3THmloJQKAB8HnswMfQ94P45q0QV8c5zzpBmMIBQg\nuVAf/hp4U2vdDaC17tZaj2it08APcfpAnIbW+mGt9aVa60tN/wNBEPJPLtSHW3CpDqYJTGb3b3D6\nQEwJd6VdQ7YVd0+dOsXBg46pY3h4mEAgYF1jbvfkVDEqw8DAgN2urq62TV4uueSSM6oPpt9lZWUl\nVVVVHvXBnTqdrbyRSMRe48CBA0QiEYqLiz0NakZTUlJiU8n379/P4OCgrVLd29tLPB4HmFCqc1FR\nkVXf/H4/IyMjVq2prq7Oys3pbl4D5LVxzJkYHYYPMzN8ekqTglIqBFwD3Oka/oZSajFOj8kDoz4T\nBKHAmWrfhwRQPWps5ZQkEgQhr0iYsyAIHmZEmLOxH2zcuNFuZxPiDI6eZzolRSIRT+Vgt35uKhxP\nFmNH0Frb7UQiweHDhwHHHmBcgGOVZuvt7bUyuu0JQ0NDdr+6utrq9WcjEomwZs0awGlgW1pamlVD\n3dLSUsCxxcRiMesOfu2111i8eHFW9zb3B8fNefLkSTtu0rgBrrvuOoDTnsnttuzr68Pv91vXbltb\nW0HaFNyu88n8nRYSslIQBMGDTAqCIHiQSUEQBA8Fb1Nwl99evny5HR8cHDxNV4vH47Z8mPFtRyIR\ndu3aBeApxQbYkufwblrvVHGnN5eXl/PHP/7RymG6QI1lU3CXXIvFYtbe4ff7bfn3kpKSMTtNjUUk\nEuHYsWOAY5doaGjg5ptvPuP5g4ODbN68GYATJ06gtbapzcuWLcvqvgZjJ1i7dq21B6TTaQYGBmzJ\n90cffZSGhgb6+/vZunUrS5YsAZx4EmMPOXLkCOXl5bbcXVlZGQsWLAAKJ17B2BNGh+EDWYXiu6/j\nJl+2CFkpCILgQSYFQRA8yKQgCIKHgrcpwLu6VWdnp9U1r7rqKlpbW62O7Pf7OXr0KM899xyJRIKL\nL74YgEceecRex6RNGx23tLSUmpoa4N3WZtli/OiRSIRoNOrxy5u4iPLycnuvY8eOWbtBc3OzJx4h\nHo/bztimxLpb9zfxDbfccstZ29uZeIf+/n5PrkJbWxt1dXVnPH9gYIATJ07Y68yaNYu5c+daebLN\neejt7bXxGT6fz76PdDpNKpWyzxoIBHjooYdoa2ujuLiYd955B3BsIOb8jo4OamtrWbvWKfIVi8Ws\nfaGysnJK7f5yyej8nGxzc2Bq5QanA1kpCILgQSYFQRA8FLT6kEgkiMVidnl18OBB617csmULH/zg\nB7n22msBRzV48cUXefnllykqKuLJJ52aLz6fz6YsNzY24vP5rJstFAoxb948gDOmNRvc4bgmHfvh\nhx+mo6PDLq3nzJlj1YSmpiZ73UQiwZ49ewBn2XvixAl+9rOfAbB7927mzJkDgFKKUCjkcUkaFaeu\nri7risqvvfaaPc/v9zMwMEA8HrdqwVhUVVVZdaGiosKTZj0R9180GuX5551avUNDQzZ0emBggEQi\nYUPNh4eH6evro6enh1AoZFWtZDJp1aclS5YQi8Wse3Xr1q289dZbAKxatYqWlpa8qBDmbxOgp6eH\n2tpa2/nqqquusm70sy3/p1pZbDqQlYIgCB5kUhAEwUNW6oNS6sfA9cBxrfXFmbHZOH0fFuAUU/lb\nrXVUKaWAbwHXAQngv2it35ysgNu2bbMRgj09PZx33nkAvPnmm3R0dLBu3TrnQfx+uru7GRoaoru7\n2y5FfT6frSZksu1MJaP+/v7TmrCMR29vLwcOHACcpbmJMty7dy/79u2zzVpHRkbsEtzn89kl/IkT\nJ3j88ccBePnll7n88svZunUrAHv27MGUpFuyZIlnqV5eXm6Lm7ozPM/Gtddey7//+78DjsW+t7eX\nZ555hlWrVp223DYei3g8zpVXXgnAK6+8gs/n83h3siEej3PkyBGOHj1qx8y78vl81NbW2u9m/vz5\nhMNh26THPPdoVcXv91sV5A9/+AOzZ88G4Nvf/jZf/vKXp6w+jI4kNGrBWJWU3Gzfvt1ux+NxW+S2\ntrZ2Ql6DqVQWmw6yXSn8BPjYqLF7gd9prc8DfpfZB6dm43mZn1U4hVwFQZghZDUpaK3/CJwcNbwC\neCyz/RjwCdf449rhdWCWUqo+F8IKgjD9TMWmUGcKtGZ+z8mMzwMOu47rzIwJgjADmA6XpBpjTJ92\nkFKrcNQLq/OPxcUXX+zR7RoaGgBHd+/u7sbdM2J4eJgFCxZQXV1tI+IaGhpspeRAIEAikaC/vx9w\nMiPb2toAx14xXpZaOp2mq6uLr3/964DjZjOuwYaGBqqqqqzO647gKy4utteYNWuWlam7u5sXX3zR\n6umtra3WpjA66jIcDnP99dcD2dkUjH5dXV1NOBwGHFdgX18fg4ODHDx40F7HHGsiK5988klbvbmq\nqopkMul5rmyIxWK89tpr9tnc5wUCAU8FZ5/PZ68PjNls1ufzedyV9fX17NixA4DZs2db9y943YRn\nswe4GRgYYNs2p+h4e3u7x1ZwJi666CLPvvmuJ2L7MfeEwqnYNJWVQrdRCzK/j2fGOwF3K6FG4Oio\nc6XvgyAUKFOZFNYBt2W2bwOedY3/vXL4S6DP1QdCEIQCJ1uX5M+BK4EapVQn8D+A/wX8Uil1O3AI\nuClz+PM47si9OC7Jf8ixzIIgTCNZTQpa61vG+egjYxyrgc9NRShDKBQ6Ta8yMQYHDhwgkUjYSkrB\nYJDS0lJKSkrw+/3Wv55Kpewx/f39nDp1igsuuABw/ORGBzUxCGPR2NjIT3/6U2u/GBgYsNcvKyuj\nrKzM6s7pdNoTMm2yLysqKqzdYGRkBJ/PR2NjI4DHR+++Djj2C1NFKhqNenToM9HT02PjO8z1/X4/\nL730kg2pHh4eJpFI2C5WHR0d9r7meJM12dPTk1Um6ZEjR4hGo54wbUNRUZG1c4zGXU07kUjY793E\naJj9iooKjw0qGo2yf/9+u5+tPSAej1vbjwmzNuePthWMRSgUsraDqej+7spi7rDmXNkTjG1lIteT\niEZBEDzIpCAIgoeCzpIcC7MMqqqq4uDBg7YoyYIFC6iqqiIQCBAIBBgaGgIcF5lxsxmX5fz5jnPk\nk5/8pA3BHQvjqlu3bh39/f3WHWruYTDuMrPtLlRqlst+v98u29PptHU9wrtLZHDccqlUyqo1ZWVl\ntpiqUZ2yYe/evdbdF4vFCAaDJBIJksmkdb91dnYSj8etSjJ37lyrcgQCAdLptHVb7tix44z3N+/7\nwIEDDA0N2f1gMOh5H4lEwuOuND+pVMqqSe7mL6agrjln9uzZ9n0VFxfz+9//3v4N1NbWZrX0B0cF\n/P3vf3/a+GWXXZYTtWAiTNd93BmYDz30UNbnyUpBEAQPMikIguBBJgVBEDzMOJuCCZFdtWoVzz//\nPK+88grgpCYbPdjv93vceMY2EAgEWLZsGVdffTUALS0tNgR6LIwOvXfvXmKxmK3SlE6n7fXj8TjH\njx+3OnR5ebnVyxcuXIjjoXX039G2A+P+c18vkUhw4sQJq1OnUilWrFgBnDkcfDRz587l+9//PuDo\n9clkEp/Px8GDB62s3d3dHD9+3NoejGvMyBQMBq179fLLLz9j+O7w8DDguPe2bt1qbSK1tbXWLnDo\n0CFKSkqs+zEYDFJTU8PAwACxWMzKVVZWZlPkBwcHPW7MQCBgz9+1axfHjx+36d6LFy/O2h6QSCTs\ndUeHF8903IVg3dWcskVWCoIgeJBJQRAEDzIpCILgYcbaFEpKSohGo7zvfe8DnLiF9evXE41G6e/v\ntyGsfr/fpkeHQiG2bNliK0CfDaPz+/1+T+hyMpnk5Emn5kxPTw/Hjx+3cQuhUMjGI8yZM8faM/r6\n+uwxJnTZ6OFFRUVWB+/s7KSqqsraDz70oQ/ZMl8mviIbKioqWLlyJQA/+MEPOHXqlC1rZmwlIyMj\nxONxGy9x4MABTyxFZWWlx/5ypmYwxiaSSqV46aWXbOzDvn37rI2lurqaiooK+15bWlqIxWI2RsGU\nrrvgggtsuPJYdhQTbh0MBqmoqLC2nonYA8YLL57pjK4OPZEUcoOsFARB8CCTgiAIHmac+mAIBAJc\ndtlldn9wcJBFixbR2dnJ888/b6scDQ4OWjdVMpnk1KlT1lV388032yW5uyKQwagM8+bNo6ury+NS\nNMuy4uJiLrroIrukbW5u5u/+7u8AJ5T2O9/5jpXDXD+RSHDo0CHrDnVXOCopKWHu3Ln84z/+I+CE\nb58pFHs8qqurWbBgAeC4BTdv3kwwGKShocGTkamUsj0cZ8+ebcOJTRaoOfZsfSTNcfX19dxzzz18\n61vfss9tqKur4/rrr7fZpslkkpaWFl5++WWuuuoqm0X6pz/9yao0kUjEqhvgvG/j4ly0aBEf+tCH\nsm6QM5p8VTaaLozqYNyQ7mzTBx54gAcffDCr68hKQRAEDzIpCILg4ayTglLqx0qp40qpba6xf1VK\n7VJKbVFKPaOUmpUZX6CUGlRKvZ35+f50Ci8IQu7JxqbwE+DbwOOusZeA+7TWKaXU/wbuA+7JfLZP\na704p1KOwej0ZaOfV1ZW0tDQYF1iR48etV2kBgYGSKfTtprQV7/6VRYtWgTAXXfd5dFNE4mEDTUu\nKSnxuCT9fj+XXHIJ4LgMa2trrU2hurra6uMdHR0e3dhduXhgYICLL74YgOXLl7NhwwbAcTvecccd\n1g05le5HxhZx3XXX2cpSFRUVnvfW1NRkQ7FnzZplz0mn00QiEetqzBbzDr/yla8AeKowVVVVEQwG\nPfcfHBy0tiGj//p8Pr773e8Cjt0hnU57KjGZ6/l8Pj7wgQ9M2qbwnxF3t6lQKMQNN9ww4WucdaUw\nViMYrfWLWmtTROB1nIrNgiD8JyAXNoVPA7917Tcrpd5SSv1fpdQHxztJKbVKKbVJKbXJ3btBEIT8\nMqVJQSn1ZSAFPJEZ6gKatNZLgP8K/EwpNWYaovR9EITCZNJxCkqp23A6UX8kU8EZrfUwMJzZ3qyU\n2ge0AZtyIGtWVFRUUFFRYcOf6+rqbEehV199lWAwaPX/ZDLJG2+8AcDu3buZNWuW1U9jsRhvvfUW\n4Oj/RUVFNmW3qqqKJUuWAE5K8Xg67ezZs1m6dCng2BSMXjw0NERTU5MNgW5sbORLX/qSPa+qqmrK\nnZThXXtEc3Mzixcv5oorriAUCtnybgsWLCCRSLB+/XrA0f+NjJFIhFgsNmbXprMxVszHRKiqqrJx\nETt37qShocHadIqKimx4uImpGN2l+r1Me3u7tSu0t7dPKhV8UisFpdTHcAyLH9daJ1zjtUqposx2\nC07n6Y7J3EMQhPxw1pXCOI1g7gNKgJeUUgCva60/C1wB/E+lVAoYAT6rtR7drVoQhALmrJPCOI1g\nHhnn2KeAp6YqVC6prKy0WZG7du0imUxaV2NVVRVHjzptLn/5y19y/vnn22VvPB63VaD7+vooLi62\nlYHC4TCtra12ezxmz55tqyah/XyIAAAWhElEQVS1tLRY1yg4IdQmMzKdTtv7nqkS1GSprq5m9erV\ngKMymfDnaDTK2rVr7b1NJWlznLtBy7mkqqqKj370o4CTZTk0NOQJdTbbAwMDeZOxEDGZn1NtKiMR\njYIgeJBJQRAEDzM2S3I07mIS7iVTKBSyhTpuvfVW/u3f/s1m2ZWXl9sMyr6+Pk6cOMH73/9+wFlK\nmwy/dDrNyMiIvYcpggp4Ih1HEwqFrBekp6eHeDxurx0Oh+01fvOb39gIxulSH8B5R/39/dY63dra\nSnt7O2vWrAHwRFwODg7S2Nh4RvVouqioqLCeE6NmmXc1MjIypiohOOQi81NWCoIgeJBJQRAEDzIp\nCILgYcbbFNyNL0xTj7q6Oo9uZfTT8vJyysrKbOHS2tpae9zoqLh0Ou1p1gJ4mpWYqLpsMdF34OjF\nPp/Pyn7s2DEb3djc3Dyh62bL6Ko8hrq6OmtjiUajtghqU1PTlKoaTYV4PG7tL6Zpi7EpGPsOvNug\nVsgt8kYFQfAgk4IgCB5kUhAEwcOMtimMbnwBTuWZ8Zp7mKo/7sw/04DE5/NRUlIyZtNXg8mu9Pl8\nnsrO2RAKhVi82ClI9eqrr9oGruDEBJiQ5/7+/mmJVQBvVR5w4hQ6OzutjcU0ogW4/vrraW1ttVWk\nziWxWMw2Djb2F/O+k8mkfW91dXX2+xNyh6wUBEHwIJOCIAgeZFIQBMFDQdsU+vv7cddvdFdGMozW\nk9vb28e9XiAQoKWlxerQfr/f0+zU7fPu7e21toehoSFPHEMwGJywf7y6utrmWZSVlZFMJq2NIhwO\n22rOpsLzWI1BpxrXbqrymHcUi8V47rnnrN1gcHDQvu/nnnuO++6774y5HdNFLBazMSEnT570VKFK\npVL2Pdx4441SyXkamGzfh39RSh1x9Xe4zvXZfUqpvUqp3Uqpj06X4IIgTA/Z/Hf3E+BjY4w/oLVe\nnPl5HkApdSHwKeCizDnfNeXZBEGYGWRTeemPSqkFWV5vBfCLTAHX/UqpvcBfABsmI1w0GuXxxx9n\n//79AKxevdq6psyS0iyFxwtxdlNcXIzf77dLznQ6bcOPe3p6PCpBcXExR44csceFQiEbDuz3+z1h\ny9kQDoetarBhwwZSqZRVSdLptA0vHh4e9rha3cv9Mz3b2TBVea655hobUn3o0CEGBgbsMel0ms7O\nToBJNbXNFe5Q5lmzZnnedSqVsupOOBzOSYFbwctUDI13ZdrG/VgpZZzZ84DDrmM6M2OnIX0fBKEw\nmeyk8D3g/cBinF4P38yMqzGO1WNdQPo+CEJhMqlJQWvdrbUe0VqngR/iqAjgrAzmuw5tBI5OTURB\nEM4lk3JJKqXqtdZdmd2/AYxnYh1OV6j7gQacvg//b7LCxWIxurq6OHToEAD3338/t99+O+C4ECsq\nKmyzCxPafCade3h4mFgsRkeH04qiqanJVi8uLS0llUp57Aom5DcajVJZWelxzxm35uHDhz1usfHu\nHwwGbbmzQCBAKpWyurK7wrRxhbpTnI3bdbzwbcNoN6aRJZlMWnmHh4fZtWsXAGvWrCGVStnn8vv9\nNDQ0AHDnnXfmzd3nLrFWXFzsCU0fHh7m+PHjpx0n5I7J9n24Uim1GEc1OADcCaC13q6U+iWwA6ed\n3Oe01lKDWxBmEDnt+5A5/qvAV6cilCAI+UPCnAVB8FDQYc4+n4/q6mqMdyIWi/GjH/0IcNKYb731\nVi644ALA25R0PJLJJHv27LFpyolEwurT0WiUaDRqffg1NTXWVx+NRonFYnY/lUrxwx/+EICVK1cS\niUSyiiUwcQl+v59AIGDtF0NDQ/zqV7+y5x84cMBz3plCt93EYjFeffVVwLG5mGfz+Xy8/fbbdHR0\ncOGFF7Jlyxb7XKWlpba0XCKR4O677wagra0tbzEAqVTK2keCwSB+v9/aXHw+ny07P10p5u91ZKUg\nCIIHmRQEQfAgk4IgCB4K2qbg9/sJh8NWhwyHw1bn379/Pw888ABXXHEF4JQPq6+vJxwOj5vuOzg4\nSDKZtPqqO6a+r6+PNWvWcO+99wIwZ84c7rrrLgC+9rWvEYvFbKpzKpWyOQPPPvssbW1tWcUSGL96\nbW0thw8f9tgUTM7B/fffz1133UU0GgXgqquusrEYZ4rBiEQidHR0sHXrVgBefvllGhsbAcdWUFRU\nxPr16/ntb39rbTR+v59QKGRjABobG22bu3zEKJjvNhKJ2LiKcDiM3++3Jd8BbrnllrzJ+F5AVgqC\nIHiQSUEQBA8FrT6YsGATbhwIBGza7KlTp0gmkzZk1+fz0drayqJFi/D7/dbNVlpaas/v7e2lp6fH\nXsPdYWhgYIBAIEB/fz/guORMt6Y777yTr3/96xw96qRxNDY2WndYPB7nwIEDXHLJJYDjFhxvmW/U\nhyNHjpwWymvkSCQSbNy4kZUrVwKOypBNunQkEuHRRx+1akc4HGbv3r2AU+kpEokQi8VIpVK2AnIo\nFCKZTNpl+Gc+85m8Lsl7e3sBeOKJJ+yYUfFMB/Dy8nLrGhb1YXqQlYIgCB5kUhAEwUNBqw+hUIj5\n8+fbxiDl5eV26T937lz6+/utamAyKY0V31iyDx8+zNVXXw3A2rVrbTQheJvKlpeXU1dX5/FcmOVp\nc3MzTU1NHDt2DHAy9dzX2LdvH+vXrwdg3rx51lvijrCMRCL2/M7OTk+TlZKSElvVyUQibtvmJJ6e\nLTPSEI1GOXHihF2Cu70wpkhsa2srw8PDtqpRKBRieHiY66+/3t47X0vyVCplVR+fz2cLt1ZWVpJK\npaznx+/356VBzXsJWSkIguBBJgVBEDzIpCAIgodsiqz8GLgeOK61vjgzthY4P3PILKBXa704U/V5\nJ7A789nrWuvPZiPIWM1PysvLWbZsmc386+vrs7aCYDBIRUWFdeWlUimOHDlCUVERWmtef/11e903\n3njDEXTWLIqKipg7dy7g1V2DwSBNTU3WHuCmurqaL3zhCzZD89ixY8yZMwdwXJlVVVVs374dgEce\necTaMJYuXWp19Egkwk9/+lPAca8ZGQwXXnihfebq6uqsMyONC7W/v5+ioiLbcKa+vt4+Wzqdpqur\ni+LiYioqKqzuXlpayurVq+2zFBcX2+9hqo1nJkokErF2IcDjNk4kEtaGc/PNN0sF52kmG0PjT4Bv\nA4+bAa31zWZbKfVNoM91/D6t9eJcCSgIwrllSn0flFIK+FvgqtyKJQhCvpiqS/KDQLfW+h3XWLNS\n6i2gH/hvWutXs7nQeM1P6uvrWb16NQAvvPACb7/9NuBEv/l8Phv1CHiKezY1NQGwbds2uxRtaGiw\nCTbgLKvN8jsejxMKhcYs3FFdXU1RUZEtQLJ7927+4z/+A3i3MYyJuFu/fr1VV/7pn/7JLs337t1r\nIyLD4TCBQMBGNaZSKRuB2drayg033JBVEpSb7du309LSwgc/+EH7Ptva2gCn+YzP5+Po0aOUlZXZ\naMn58+fbgrXm/eai8cxE6e3t5fDhwzz55JOAo9a4XcPG7QxOMplEMr7LeMV6p8JUJ4VbgJ+79ruA\nJq11RCm1DPiVUuoirXX/6BOVUquAVYD9BywIQv6ZtPdBKeUHbgTWmjGt9bDWOpLZ3gzsA9rGOl+a\nwQhCYTIVl+TVwC6tdacZUErVmoaySqkWnL4PHVMTURCEc8mk+j5orR/B6S7981GHXwH8T6VUChgB\nPqu1PpmNIOM1P6murrYhrsuWLbP678UXX8zrr7/uaZBqQnj9fr91zS1btsx+HgwG8fl8Vkft6emx\nIb+VlZX81V/91ZguSXDcmcYVVlJSwo4dOwA4evQoQ0NDHleg+exrX/uaLWgyPDxsbRvGDmFsCgMD\nA9a1+uEPf3hS+vyKFSsA7HWuvPJKW6C2ubmZkydPkkqlKCsrs3aOQCBAd3f3pBrP5JJIJMJPfvIT\nHLu1g3k3yWSSQCBgC/Sa9/xex9gSuru77Xd2tgbL2TLZvg9orf/LGGNPAU9NSSJBEPKKRDQKguBB\nJgVBEDwUROr04cOHPfujQ3xNiOvChQtZuHAh4OhUS5Yssb7/DRs2EIlEiMfjDA4OWttDKpVCa22v\nE4/Hx2xQevfddzN//vxxi766qaiosDr3008/TSQSsbq8z+dj0aJFgBMObZrZVlRUWH3Y2EiMXhgI\nBKzto7GxcUI6oYmrGCu+wp26bYq4ujFVntxkG16dCyKRCJFIxDaqMTYbUxEKnO8vFArZ952vGIXp\niAeYLIlEwsb1jLYH5cIWJCsFQRA8yKQgCIIHmRQEQfBQEDaF+fPnW9+58bXCu3qbsSmMFflofP9N\nTU10d3fzyiuvEI/HbVk2Y3MAp2RZKpWyjUVisZhNcx4rpn48PdKdsn3TTTfxxBNP2OYlRgc2MpkU\naRObAE68RDqdtvkOPp+PD3/4w8C515nb29tP83PD9OnM6XTapm7v3LmT73znO3R1ddHa2mqPGRoa\n4uRJJ7wlGAxy880309DQAHDWJsK5ZnQ8QD5yQ8ZitC0IcmcPkpWCIAgeZFIQBMFDQagP4A2rnciy\nzCwny8rKbEXmWCxm3Y6/+MUvOHLkCOCoGsFg0FZVnj17tm34Mlo1cbt9zLLRvbR2L2OvueYa7r//\nfsBxr7a0tNjrj0c6nbZp3/X19Vk/by4JhULU1dVN+t1PlEgk4mng88QTT7Bnzx6rMhk1MRKJWLXv\nggsuYMGCBXmptjSW6y8fYeBjYVSF6VBpZKUgCIIHmRQEQfAgk4IgCB4KxqaQC12orKyMsrIy6uvr\nrYvzi1/8oqfz0OjfRu83IchuF1Q2IaRlZWU0NDRw3nnnAU4atCkL5w6jdt8XnJRgUwouGAzadGvT\nqPZcke17j8fj9j1GIhHKy8utnj/ajRqPx21Kezwet+/jyJEjPPXUU7ZMXCqVoqGhgerqagKBgOf9\nzJ8/H4A77rhjzBDusZiOUOR8hoGPh7EFwdltcZOpzi0rBUEQPJx1UlBKzVdK/UEptVMptV0p9fnM\n+Gyl1EtKqXcyv6sy40op9ZBSaq9SaotSaul0P4QgCLkjm5VCCrhba/0B4C+BzymlLgTuBX6ntT4P\n+F1mH+CvccqwnYdTmPV7OZdaEIRpI5vKS104VZrRWseUUjuBecAKnDJtAI8BrwD3ZMYf106+8utK\nqVlKqfrMdc4ZRt+diH97tF/arY+dSZesrKzkM5/5DOB0vzalyk03K3DKlhudOZ1O09vba33xxcXF\nBaGrnone3l77XFu2bAGwpeKrq6ttqrrP5+PUqVNs2LABcN7piRMnAHjnnXcYHBy0qfKmhL85zrBk\nyRKuvfZaAN73vvedNfR7OkuTjY4HmO4w8GzJ5v7uv+eHHnoo62tPyKaQaQqzBNgI1Jl/6JnfczKH\nzQPcBRI6M2OCIMwAsp4UlFJlOPUXvzBWHwf3oWOM6TGut0optUkptamnpydbMQRBmGaymhSUUsU4\nE8ITWuunM8PdSqn6zOf1wPHMeCcw33V6I3CUUUjfB0EoTLIp8a6AR4CdWuv7XR+tA24D/lfm97Ou\n8buUUr8A2oG+c21PmAxG/zKxCYlEwuptpo3beHqcu/x7dXW1Tee+9957qampARyd3MQlmNLqJvfh\n05/+dMHoquPR29trS8tt2LCBYDBoU7+Li4ut3aCyspKSkhJrP+no6LDPZNKhzX8Cfr/fdpWORCJ2\nfOHChTaV+mwxCtNZmmyseIBC/X7cjBdrky3ZBC8tB1YCW5VSb2fG/hlnMvilUup24BBwU+az54Hr\ngL1AAviHCUslCELeyMb78Bpj2wkAPjLG8Rr43BTlEgQhTxRMmHMh4A5pDYVC3HDDDcDEUlIrKiqY\nN89xtnzxi1/k2WcdraqmpsambO/evZuqqipbmbqtra3gOym7O2tVVFSQTCZt2HNPTw9dXY6GWF5e\nzpw5c+wStrW11bpmm5ubKSkpsRWozDUjkQgjIyN84hOfAByXpEmjzobprEI0E9SF8RjrvWSDhDkL\nguBBJgVBEDyI+uAiV0VMjSqwdOlS2xj14MGDvPnmmwDceOONbNy4kVtvvdVzfCHj8/lsQxnTuNZk\ngabTaYqLiwEn43NgYMBmQqbTaVuJyufz4ff7bfRjJBKx6sR5553HRRddBEy8EtV0ViGaybj/nlev\nXs2DDz6Y1XmyUhAEwYNMCoIgeJBJQRAED8o0X80nl156qd60aVO+xZjWJqKmAQ04unRlZaXdz0el\n4omyf/9+nnnmGcCJUkylUrYBTklJibUvuJvhAKc17E0mk9YlafjkJz/pqdg8URvL6O8NCsuVmK/m\ntO77hkIhlFKbtdaXnu08WSkIguBBJgVBEDzIpCAIggeJU3Axnbqeu6PUuW6Smivc1Zbh3ea+oz8r\nKiqy2yMjI9bekEgkbHNdgFtvvZWmpibKysqmFKtRSPaD0ZgsznPZxNcw2evLSkEQBA8yKQiC4EHU\nByErmpub2b9/v90vKSnJ6ryioiJbqLW2tpYf/OAHFIIb/FwRCoU8RVM3btzIAw88kEeJzo6sFARB\n8CCTgiAIHmRSEATBQ0GEOSuleoAB4ES+ZZkCNcxs+WHmP8NMlx+m9xnep7U+a+n0gpgUAJRSm7KJ\nyy5UZrr8MPOfYabLD4XxDKI+CILgQSYFQRA8FNKk8HC+BZgiM11+mPnPMNPlhwJ4hoKxKQiCUBgU\n0kpBEIQCIO+TglLqY0qp3UqpvUqpe/MtT7YopQ4opbYqpd5WSm3KjM1WSr2klHon87vqbNc5lyil\nfqyUOq6U2uYaG1Nm5fBQ5nvZopRamj/Jraxjyf8vSqkjme/hbaXUda7P7svIv1sp9dH8SP0uSqn5\nSqk/KKV2KqW2K6U+nxkvrO9Aa523H6AI2Ae0AAHgz8CF+ZRpArIfAGpGjX0DuDezfS/wv/Mt5yj5\nrgCWAtvOJjNOP9Df4rQM/EtgY4HK/y/AP41x7IWZv6cSoDnzd1aUZ/nrgaWZ7XJgT0bOgvoO8r1S\n+Atgr9a6Q2udBH4BrMizTFNhBfBYZvsx4BN5lOU0tNZ/BE6OGh5P5hXA49rhdWCWUmpiDRlyzDjy\nj8cK4Bda62Gt9X6chsd/MW3CZYHWuktr/WZmOwbsBOZRYN9BvieFecBh135nZmwmoIEXlVKblVKr\nMmN1WusucP4AgDl5ky57xpN5Jn03d2WW1z92qWwFLb9SagGwBNhIgX0H+Z4UxupmPVPcIcu11kuB\nvwY+p5S6It8C5ZiZ8t18D3g/sBjoAr6ZGS9Y+ZVSZcBTwBe01v1nOnSMsWl/hnxPCp3AfNd+I3A0\nT7JMCK310czv48AzOEvTbrO8y/w+nj8Js2Y8mWfEd6O17tZaj2it08APeVdFKEj5lVLFOBPCE1rr\npzPDBfUd5HtSeAM4TynVrJQKAJ8C1uVZprOilAorpcrNNnAtsA1H9tsyh90GPJsfCSfEeDKvA/4+\nYwH/S6DPLHELiVE69t/gfA/gyP8ppVSJUqoZOA/4f+daPjdKKQU8AuzUWt/v+qiwvoN8WmNdFtY9\nONbhL+dbnixlbsGxbP8Z2G7kBqqB3wHvZH7Pzreso+T+Oc4S+xTO/0K3jyczztL1O5nvZStwaYHK\nvyYj3xacf0T1ruO/nJF/N/DXBSD/X+Es/7cAb2d+riu070AiGgVB8JBv9UEQhAJDJgVBEDzIpCAI\nggeZFARB8CCTgiAIHmRSEATBg0wKgiB4kElBEAQP/x98exTnGa8XTAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6 8 6 3\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngqIoEXRRUBQlgi4KiqJE0EVBUZQI/x+7GKLZ6TLKHwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_tfrecord('captcha/train.tfrecord',batch_num=3,batch_size=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "batch0:\n",
      "9 4 7 9\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nZ9mpjuM7kQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6 7 2 9\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFpZaAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 9 5 6\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "batch1:\n",
      "7 2 9 2\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6 6 2 1\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noqAoSghdFBRFCaGLgqIoIXRRUBQlxP8H3395BUF+6VAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 2 3 5\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJztnX1wnHd17z9n37Ra7UqyZNmWbd1Y\nTgwhgbkhdUkcXloS0hqGaeASEvJHG1LilBmYgZkyU6B37mXa6aTtLe2003u5E0OGl6G83IEU/gi+\nkAzQ20IIgYQXxzjYil9kW7JsaaWVtO/7u388+/v5edYre6Xd1a7M+cxotPvs83KeZ+Wff99zzu8c\nMcagKIpiCXXaAEVRugsdFBRFCaCDgqIoAXRQUBQlgA4KiqIE0EFBUZQAbRsURGS/iBwVkWMi8tF2\nXUdRlNYi7chTEJEw8BJwNzAJ/Bh4wBjzYssvpihKS2nXTOF1wDFjzIQxpgB8GbinTddSFKWFRNp0\n3h3Aad/7SeC2lXZOJBJmYGCgTaYoSnvo7+8PvF9YWOiQJY0xNTV1wRgzcrX92jUoSJ1tAZ0iIo8A\nj4D3cB966KE2maIo7eEtb3lL4P1TTz3VIUsa49FHHz3ZyH7tkg+TwJjv/U7grH8HY8xjxpi9xpi9\niUSiTWYoirJa2jUo/BjYIyLjIhID3gN8s03XUhSlhbRFPhhjSiLyQeD/AmHgcWPM4XZcS1HWk3Q6\nDcCnP/1pPvShD7ntBw4cYOfOnQAMDg52xLZW0S6fAsaYJ4En23V+RVHag2Y0KooSoG0zhWsdO420\nrDRlLJfLl20Lh8NtsUlZP/bv38/Y2Jh7vXPnzg0vGyw6U1AUJYAOCoqiBNBBQVGUAOpTWAPpdJrJ\nyUkADh06xP79+91nfl2ZzWbJ5/MALC0tkUqlABARIpEIkYj3+KPR6HqZrjSJ//t9+OGH627f6OhM\nQVGUADooKIoSQAcFRVECqE9hFdjchMnJSQ4ePOi2j42NOX2Zy+UoFosAnDhxgkKhAEBPTw/z8/OA\nl7vQ29vLjh07AM/f4Oda0qfXKtfyd6QzBUVRAuigoChKAJUPa+DQoUOB93fddZeTAMvLy7z88ssA\nFAoFcrkcAKFQiFgsBkAkEqFYLLqQ5MLCAt/+9rcBXHjzWp6eKt2NzhQURQmgg4KiKAHWLB9EZAz4\nPLANqACPGWP+UUQ+ARwAZqq7frxaW2HVGGPI5/POm18qlQKfx2Ixlw1op+brwf79+9m2bRsAb37z\nmxkaGuL0aa9O7dzcnJMMAJVKBfCyGO3rUCjE8vIy09PTADz55JOEQt747I9ktJpisUipVMKW9Q+F\nQoFsSmuDtbcV5HI5972VSiXi8bi7pq4W7U6a8SmUgD81xvxURFLAT0TkO9XP/sEY83fNm6coynqz\n5kHBGHMOOFd9nRGRI3il3RVF2cC0xKcgIruA1wI/qm76oIj8XEQeF5FNrbiGoijrQ9MhSRFJAl8D\nPmyMWRCRTwF/idfn4S+BTwJ/XOe4QN8HP1bz5nI50uk0J0965er9VYxsiM9mBcZiMWKxGJFIhHg8\n3uxt1cWWoh8aGuLee+8F4PTp02SzWRYXFwFvZWS9VnwiwvLysrO1UCjwH//xH4CX0Wht9q+4bBbr\n2ygWixQKBYrFIlNTU07TJxIJenp63H2Fw2H3OhQKNeVXsNdeXFzkpZdeAryszpGREbZs2eKup3Qf\nTc0URCSKNyB80RjzdQBjzLQxpmyMqQAH8VrIXYb2fVCU7mTNg4J4/418BjhijPl73/ZR327vBH65\ndvMURVlvmpEPrwf+EPiFiLxQ3fZx4AERuQVPPpwA/qQpCxVFWVeaiT78O/V7Rjbd68HG85eWlpiY\nmHCNO22c3RKNRt1ntpLRddddR09PDz09PcAlX0OzlMtlp5PPnz/P3NwcAPl8nuXl5UA+gsXvWzDG\nOJ9IoVAgn89z4403AnDq1Cne9a53ATA+Pr6mFGfrN7CrMiuViqv69PLLL1MoFJyN1rcRiUSIxWLO\npzMyMuKeb19fX1PPzeaWHDlyxD2reDxOKpWq63NR6tNo1fCrHb+a4zSjUVGUADooKIoSQAcFRVEC\ndOXSaas58/l8QMvXrn3wfwae/yCdThOPx0kmkwBcd9119Pb2Ap4PIhqNrjo+XiqVyGazroLzzMwM\nmUzG2VCLzQOoVCpOxxtj3H2VSiWi0SibNnl5XXfeeafzLzSi/ex5yuWyeya5XI6zZ8+66k6FQsH5\nDqwPozbvoFKpEAqF3LLvdDrt1nRcd911hMNhd4x/XcTVyOVyzteTyWScb8P6eVq1rmI9aFbTN3vt\nyclJDh06xB133AF4a2NSqVRDdvirjt977708+uijDV1XZwqKogTQQUFRlABdKR/slBu8qbL/vZ3G\n2qmv/5hcLkc+n2dxcdGlHS8uLjIwMADAwMAAIyMjATnRCIVCgTNnzrjl0UtLS0422Km8TVOORCKB\nabKVN9lsNiB/jDHu+j09Pe742vuqh19ezc7OAl71posXLzr5kMvlLntu4XA4EBq118tms4Ana/r6\n+gCYnZ2lUqm4tOerhSf9KdULCwv86le/cu+tXIvFYqRSKVdxqttptOlPO6998OBBJ8XAkw/+5rZX\nkxK2StiHP/zhhq+tMwVFUQLooKAoSgAdFBRFCdCV4s5q4WKxSCgUchpbRC5bFm31aqVScWE/f7rv\n7Oys8y9cvHiRTCbD9ddfD1zS2X6sXi8Wiy5Vd35+nrNnz7rzlEolZ1NPT08gVXjHjh1OA4ZCIWZm\nvKp05XI54Ifwp/pGo1Gn6/v7+6/oUygWi06/z8/Pc+HCBQCmpqYCpc/C4XDAzxEOh0kmkywtLQXu\nw+93KJfLzicxNDTEwsKC84/Uo9aPADAxMUEmkwmU0LPPZtOmTSSTya5fMn2lpj/333//Zfu3y79w\n6NAhFhYWnC8LPN/RwYMHnU/hvvvuu6Ida1mKrzMFRVEC6KCgKEoAHRQURQnQlT4FqzkjkQjRaDTg\nR7C6aevWrVy4cMHt29fXRzQaZWlpiXQ6zcWLFwFP0/rTpGOxmCutvnPnzhX1bS6Xc1pudnaWbDYb\nKNFubUomk4yPjzM0NAR4fo/t27cDns63mvzUqVPOz2F1v99X0kgasTGGYrHo7Jqeng74B+BSKrG/\ngW1PTw/hcJhisUg0GnUp4BcuXAgsqfaTzWaJx+MrpiTncjl37SNHjri0b1uS3z6fVCrlrjc0NEQk\nEtkwac61ncDuuOMO9+x/8IMftD1vwZ+PYH028/Pzzu9jbVypJYDfpqeeeqrh6+pMQVGUAK0o3HoC\nyABloGSM2SsiQ8BXgF141ZfuM8bMNXstRVHaT6tmCm82xtxijNlbff9R4GljzB7g6ep7RVE2AO3y\nKdwD/G719eeA7wF/1ujBVl9v2rQpsDS6XC67mPfQ0BBbt251sf9IJEKhUCAej1Mul91y3Ww262Lm\nlUqFhYUFl8dvNa49Hi5p8+XlZeeXmJ+fD+Tw9/b2Or22Z88ekslk3WXBW7ZscTHv4eFht5TZXsPv\no7DrMa7kW7BrHaxdU1NT7t7C4TCbN292vo2hoSH3rKxfplKpMDw8zJkzZ4BLy6utb8DvX1lcXGTL\nli111ylYf8LPfvYzwNO71l8SiUTo7e11aya2bNni7q23t7fh9SbdgF/T26XLX/nKV9zn9rN2tPmz\nf18HDhzg9OnTzr9hfRr2u71aHsJafB2tmCkY4Nsi8pNqLweArdUOUraT1Jbag0TkERF5TkSes/9Y\nFEXpPK2YKbzeGHNWRLYA3xGRXzVykDHmMeAxgNHRUa3kqShdQtODgjHmbPX3eRF5Aq/5y7SIjBpj\nzlX7QJxfzTntNLanp4cdO3a4CkUzMzOuMpANQfrscF2oi8ViYDmwlRg2PGnDZ9PT026aa6fJdvq/\ntLR0mbSwU/uRkRHGx8cBL+S20rLiWCzmpvPlcpnz573HUDszMsa4c9vf1uZyueym5ouLixw/ftyF\nVC9evMiLL74IwK233kosFmPz5s2AN233d3e2YU8RcVPKxcXFwLLcfD7vns0zzzzDO9/5TreUOh6P\nO6lil0bbY22o1+63detW91yTyaT7/qLR6KoqOHUK/5TbSoNMJhOQDtDabl4r2TE4OEgqleLAgQOA\nJx/84dCdO3e2PBzabIeovmrHaUSkD/g9vOYv3wQerO72IPCNZq6jKMr60exMYSvwRPV/1wjwL8aY\nQyLyY+CrIvI+4BTw7iavoyjKOtHUoGCMmQD+c53tF4G7mjk3XGrwYqfv/ka0tV5sEXH7JZNJV21J\nRJx3PZ1OY4xxkYlcLuem5rWrL/3RglQqxdzcnJM1mzZtctPqK1UkCoVCgepKK63IrNccxcoHfzWl\nc+fOMTMzw9TUFADPPvusk0mnT5/moYceYuvWre751IsciIiTSDYqYO8zk8nw7LPPAp5Ue/LJJ3nw\nwQfdPsePH3f72cxF8OSJlUnDw8Mkk0knY2KxmLvvbl8dWUvttNwfjdi/fz87d+6su1877LDXSKVS\n3HTTTSva2Aq6X+ApirKu6KCgKEoAHRQURQnQlaska1lNFlwoFCKZTDofweLiIhMTE4Cni/P5vMso\nzOfzl60QtDo8Ho87/Wh9EalUCvBCko1WJLb63e/zEJHLmsPU2mHf+ys2F4tFyuWyq5Scy+XcCsR3\nvOMdjI+POz/BlfCHfP06/8UXX3T+hXA4zO/8zu84n0sul3PZpXab9ackEgnnYxkdHSWVSm1YP8JK\nWO3uz15cz8Yw63lNnSkoihJABwVFUQJsCPmwGvwFUMCbqtvw2Pz8PIVCwckHf3FWW4zVZtzZ7EjA\nNVGxYc7e3t6mpsVWPliJUCgULgtLWjsikYibMsZiMfL5PLfffjvgFW655557ABgfH3f2XQ17XzY8\naWXB6Ogohw8fBuDuu+/m+uuvd88qk8k4G0OhEJFIxEmXbdu2ORv7+vqu2jhmo9IJudAJdKagKEoA\nHRQURQmgg4KiKAGuOZ9CLdFo1GnoRCLhUp7BC7PZFOJQKBRY8ehfzRePx10R1NrPWkGlUgkUXvE3\nqRkeHnZhzVgsRjKZdH6Q973vfS5suhq9a69VKpVYXl52PoWjR4+6VPKjR4/yxje+0V0LLt13OBxm\nYGCALVu8Mhnbt293/oVrJQT5m4zOFBRFCaCDgqIoAXRQUBQlwDXvU/AXRbXYeHuhUHApxCJCb29v\n3Rh7M8VG6y2Lrt1mjGFpaQnwfAN+n0IsFmN4eBjwfACLi4vOxv7+/obTrS2lUsnd8+zsLIVCgaNH\njwKej8U+q7vvvjvQzNZPMpmkt7fX+RESiURX5ibYorng5VnYNHXobM6B3y7ovvyHNQ8KIvJKvN4O\nlt3AfwMGgQPATHX7x40xT67ZQkVR1pU1DwrGmKPALQAiEgbOAE8ADwH/YIz5u5ZYqCjKutIqn8Jd\nwHFjzMkWnU9RlA7RKp/Ce4Av+d5/UET+CHgO+NNOtozz5xTUNjatVCpOy/f29rr4fasol8suzp/N\nZt357doHSz2/gyUcDjv/Qrlcdk1nYPX5EpVKhXw+75rJzM3NUS6XufnmmwGv3Nt9990HeI1OTp8+\n7cq9GWMC/gv/UvDVUvuc13qeK5FOp5mcnHRNVG6++Wa3rsNWQu6Elrd2gdcctt1NatdC0zMFEYkB\nfwD8n+qmTwHX40mLc8AnVzhOm8EoShfSCvnwVuCnxphpAGPMtDGmbIypAAfx+kBchjHmMWPMXmPM\nXtsjQFGUztOKedsD+KSDbQJTfftOvD4QHcM/zbUVki3+5cvlcvmy6kfNUi6XmZvzlNP8/PyK5xcR\nV7noSmnCfimxFgqFAvPz8y7VO5/P09vb6679wAMPuLTpWCzGxYsXXajR31THLjm3sqeeTbY6k7+q\nlF2qbT9Lp9MMDw8Tj8db1mPShvsmJyc5ePCga1izsLDgqi+PjY21pf/jauyydMKWq9HUoCAiCeBu\n4E98m/9WRG7B6zF5ouYzRVG6nGb7PiwDwzXb/rApixRF6Sia5qwoSoBrPs3ZvyzZVlD2hyat3m21\nPwE8XW1DesvLy4FQnIg4Le7v5tSuBqyVSoVcLsfU1JRLXbZhRtssd8eOHS4VuFwus337di5cuODs\nt9iK2NbW2lBvoVBwod4TJ064z1OpFNls1oVpK5UK6XSaXbt2kUwmWxqatKFI61Pwdxdrd2PYK2Ht\nsnTSlpXQmYKiKAF0UFAUJYAOCoqiBLjmfQpAQEP78et6f3n3VhGJRJwWX15edlra+jXs0uNUKtWy\nOP1K2E5Ti4uLzn/S29tLKpVy6bWJRCLwPCKRSKAcvH1+NqfDv2/ttY4dOwZ4mt76Uqanp4nFYoHv\nIxqNEg6H2bVrFzaJrRUl3WyHaJvCffjwYaffd+7c2bGU4nqdq7slvdmiMwVFUQLooKAoSgAdFBRF\nCfAb4VOwuf21RCIRtxQ5FotdFm9vFmMMmzZtAjw97fcpRCIRV/ps69atLV8+XKlU3FqFUqlEJpPh\n5MmTZLNZ5ycYHh7muuuuC7Sbs8eEQiGMMU7fi0gglyOfzwfObz8rFotcvHjR5fr7S+r7y87Za8Vi\nMWZmZkgkEq6MfjM+Bb8+f/jhh8lkMgDs27ev7j7rRa1dnbTlauhMQVGUADooKIoS4JqVD/WqGYVC\noUAYsqenx03hm+0kXY/l5WXOnfNWkafT6cDU3N+5SkRaFg71hw1thaVsNsvZs2fJZDKIiJM0tkO0\nPWZpacmFSW33biuvIpGIW/JsjKFYLDIxMQFc6soNMDExEQhD+lO7a9PMjTEUCgVyuRzpdNp1nPJ3\nDV8rdlrebdPzbrOnHjpTUBQlgA4KiqIEaEg+iMjjwNuB88aYV1e3DeH1fdiFV0zlPmPMnHhzw38E\n3gYsA+81xvy09aZfmXw+D3hTYusJt95/O32NRqNs27YN8Kasrc5onJiY4IknngC8FYh2aj44OOh+\nrF2tinzY+15YWHDy4dSpUxQKBddIxt5nNBplYmLCNZtJJBJOTkUiEWKxGNu3bweClaMqlQqVSsVF\nFo4cOeJkQjabdTbUYisv+aMYtphssVh08iqdTruoARDIulTaT6P/Cj4L1K7x/CjwtDFmD/B09T14\nNRv3VH8ewSvkqijKBqGhQcEY82/AbM3me4DPVV9/DniHb/vnjcczwKCIjLbCWEVR2k8z8+WttkBr\n9feW6vYdwGnffpPVbYqibADaEZKsJ44viw+KyCN48oL+/n6n+1uhJYvFoludODEx4c6dz+fd6j/w\nQpI2/NVKzWqv94UvfMGFJA8fPsztt98OeP6L8fFxl0kYjUab9inkcjmKxaKrNPTSSy85zW8rIS0t\nLfHSSy+5lYNDQ0OkUimXZbh79273OhQKEYvFXMWikZERt7qxUqkQCoWcH2FxcdH5a8rlMpFIJJCh\naV/bUKY/tGmMoVQqkc1mXZWnxcVFvv71r7vjbYMa2BghvY1OMzOFaSsLqr/PV7dPAmO+/XYCZ2sP\n1r4PitKdNDMofBN4sPr6QeAbvu1/JB63A/O+PhCKonQ5jYYkvwT8LrBZRCaB/w78NfBVEXkfcAp4\nd3X3J/HCkcfwQpIPtdhmRVHaSEODgjHmgRU+uqvOvgb4wGoNsb4Ef7Xbd7/73SvtXhcb587n8xw/\nfhyAs2fPOp0cjUaJx+MuXyCZTDqfQqtyFEqlktPey8vLLmb/2te+lpGREcDzlSSTSVc5ebVYTe7X\n59lsluPHjzs/Qi6Xc5/lcjnm5+d59tlnmZmZ4ac/9dJGbr/9dsrlMps3bwYIVHqORqOkUqlAlWn7\nuraas81bAM9/sHnzZqf9jTHOv5NIJJifn3c+l0Kh4PwS6XSa2VkvwPX000+7ZrD9/f0cOnSo67oo\nXctoRqOiKAF0UFAUJUDXrJKcn593v9faIKNSqZDJZFhYWGBychKA73//+9xwww0ADAwM0NfX51bj\njY2NtbxgaqlUYmpqCvBCj695zWsAL5RmpcrAwEBTcsWG/06cOOFk1/z8PMvLy04ywKVQYCwW48SJ\nEy5V2dpki8/Y6XwymXTHp1Ipent7L0tJhksyzf4WEXdvyWSS4eFhlx4dDofdfplMhmQy6STDwsIC\nlUoFYwy5XI5nn30WwD0/8ORDNzZMuZbRmYKiKAF0UFAUJYAOCoqiBOgan8IPf/hD4FKDDFhdSmul\nUqFYLHLhwgWOHTvmQpuzs7O8+OKLgFe8s6enx4UG/c1PmsXq5Fwu56oQ3Xbbba7KUW9vr9P4mUym\nKZ+C1f1LS0vMzc0BlxrY2mvY8Ct4/oG77rqLF154gVtvvdUtF7cFV/0a34ZrM5mMW1Ltvz9LpVIh\nFosBXrq4Da+Oj4/T19fnGrvEYjHnU0gkEqTTaRcCLRQKFAoF97xe97rXAfD888872++7776ubJhy\nLaMzBUVRAuigoChKAB0UFEUJ0DU+BT+r0Y/+1OaLFy8yPT3Nd7/7Xc6f9xZtVioVbrrpJsBrfhKL\nxZzubmX1Zps7MDU15ZYv+0uf+eP9kUikZWnV9l78Gh5gdHQ00OhmfHycAwcOcP311zMzMwN4/pZs\nNhsos2bTsm0TWfuZvzq2bcZrzz82Nub8BKlUikQiEVgK7m9Em0ql3DXS6TRLS0tUKhXi8bj73t/7\n3vc6H4X6E9YfnSkoihJABwVFUQJ0pXywabeNTButfJidneXcuXOcP3+eXbt2ceTIEQBuvPFGF1rb\nsmULqVTKTXtbRaFQcOnGMzMzbrWf/Qw8efP8888D8K53vYtcLsdai8vY1Gx/GvLQ0BDhcDggGewU\nPBwOEw6HERH6+/vddpsWXduwxdptKyzZc/grKPX29rrzDAwMuNCr7clZr5KUiBCLxQLp3gsLC+6a\nthLV2NjYmleQdiP279nS7XJIZwqKogTQQUFRlABXHRRE5HEROS8iv/Rt+x8i8isR+bmIPCEig9Xt\nu0QkKyIvVH/+dzuNVxSl9TTiU/gs8M/A533bvgN8zBhTEpG/AT4G/Fn1s+PGmFtWa8i+ffsAr/KS\nf6nsSvrLdhSylYYWFhaYn59HREilUu58w8PDDA0NAZ5m3bVrlwvbtQJbOdpWekqn006j265M4KVx\n21Dl97//ffbs2bPma1ptv3PnTnctESESiTi97q8Q7Q9/xuNxp9dHRkZcerTFH570N4NNJBKBakpw\nyQcwODjonunVQq0i4nwpiUSC7du3c/r0aZdy7T//tUA6nWZycjKQxr/hfQr1GsEYY75tjLF/Sc/g\nVWxWFOUaoBU+hT8GvuV7Py4iz4vI90XkjSsdJCKPiMhzIvKcreGnKErnaSokKSJ/DpSAL1Y3nQP+\nkzHmooj8FvCvInKzMWah9lhjzGPAYwCjo6PXznxRUTY4ax4URORBvE7Ud1UrOGOMyQP56uufiMhx\n4BXAc1c7n9WnAwMDbtnz/v37yWQyTgP7tVipVOLMmTNOs8/NzZHNZimXy/T29jrdaisngxf/TiQS\nTZdgKxaLTocvLy9z8uRJ5y/I5XKBysY2X2J5edldt9nyYn6fiE0htrkB9fwItVifRCqVIhqNugrO\nfkKhECLibO7r63OpzNlsllwuF8iJaDRt26ZI23Nms1kikQilUsmlP/tTwjci/q7Z8/PzHDp0yP19\nbwTWJB9EZD+eY/EPjDHLvu0jIhKuvt6N13l6ohWGKoqyPlx1prBCI5iPAT3Ad6r/Mz1jjHk/8Cbg\nL0SkBJSB9xtjartVK4rSxVx1UFihEcxnVtj3a8DX1mKIlQj79+93lZ2tjLjjjjuAS9N/y9zcnGtK\nWiwWXQPZ3t5eF4YcGRlx504mk01JB5uumsvlOHvWa49ZqVSYm5tzDWf84bRYLMYb3vAGwGt0+/a3\nvx1ofuWflQj+dO21NKitl45sp/b2Mys1RkdH3bS+v7+fcrnsjvU3k20Em5q+uLjI4uIipVKp6Qa7\nncYvGU6fPs0PfvAD99n+/fudfNgI6dua0agoSgAdFBRFCdA1qyTtdHpwcDAgJQ4dOuRkRH9/P7/9\n278NeNmCfk+/7W0Yi8UYHBx0DV9sUxO4tIJvLdjMNIAnnniCG2+8EfCy8iqVSqAxio0IbN682RWh\nveuuu9z2ZjPaWjXVLpVKl2UP+ldgRiKRVUuDRq8LXhZqOp2mXC472Qet6+vZbqyczGQyAcmwsLBA\nf38/cKkQcbdnMfrZGE9fUZR1QwcFRVEC6KCgKEqArvEp+PHrr/vvv99lAJZKJZ566inAy+TbsWOH\nK5gai8Xo6+ujv7+fZDIZyGi0OrlZf8LBgwcBOHXqlNOP+/btIxKJOG1uqwuBVw3J79voFvyNYq0v\nBAisshwZGWl58117bXt9W/XJGEMsFnPXa4cfoxXUZipafvjDHwbe79+/n/vvvx/wvvd2+hOuVtVp\nNVXMLDpTUBQlgA4KiqIE0EFBUZQA3SneqgwODjI4OBjwD9j8gMXFRY4dOxaIs+/evRu4VG0YvFRg\nq5Ob4dChQ64yczab5ZZbvOJSNn3V+ivi8bhbldnX19cWXd4sNk9gaWnJ5XeA55cZGxsDvPtoZbMc\nS6VScSnh1g7rU7Cp6Z32KfjzD/y+ArjUCNmPrfLlT2Vud16CtXFycjKwqhgu+Q/8uTX33nsvjz76\naEPn1pmCoigBdFBQFCWADgqKogToGp+CP95aq8esfwBwcX8R4RWveIWr1iMiTE9P09fXx+zsLC+/\n/DIAr3/96zlz5ow7fmBgoG4lpytRKpV4wxveQF9fHwCvec1rXG67XU9h/R7Dw8OuQtHWrVs7ro/9\n2BwBW2lpYWEh4FMYGhoK+GLacf1CoeC+M9uhyq5Zsc93vf0wV8o/qMX6D2B9fQh+/L4CmzsDXmmB\nhx9+OOBvsJ8fPny44fOvte/DJ0TkjK+/w9t8n31MRI6JyFER+f2GLVEUpStoRD58FqhXVPAfjDG3\nVH+eBBCRm4D3ADdXj/lftjyboigbg0YqL/2biOxq8Hz3AF+uFnB9WUSOAa8DLp+H1fDpT38aoG4j\nGBsKzOVyZLNZwJtiDg4Ouul5qVRi79693HnnnQG5caUpoJ2C+ak3Jezt7aVcLrvj/E1qw+EwiUSC\n0dFRALZt2+akRTwe76plwJUohHGkAAAPmUlEQVRKhfn5edcAN5vNEgqFnPSxaeLQnuXLxhgWFxfd\n9fP5vFs2PTAw4L7LVlZhulJ40c/VpAKsTXq2CxuG9FNbELjePo3QzDf/wWrbuMdFZFN12w7gtG+f\nyeq2y9C+D4rSnax1UPgUcD1wC16vh09Wt9cb4uv2dDDGPGaM2WuM2bvWluyKorSeNQ0KxphpY0zZ\nGFMBDuJJBPBmBmO+XXcCZ5szUVGU9WRN8TIRGTXGnKu+fSdgIxPfBP5FRP4e2I7X9+HZq52vv7+f\nF154AbgUVvFjU5lzuZxbKm2MIRwOO23f39/PyMgI4+PjpFIppyX91aEt9fRjLfv27XM+h+XlZSYn\nJ50WLpVK7rqDg4Ps3LnTlV1LJpNt0cbNUi6XyWazzM/Pc/q0p/Dy+TzRaJQdOzyFt3nz5oYbxTaK\nMcZ9Z8vLy8zPz3Px4kV3fREhHo8Tj8dXHb61ocQr+QosV/vOmwk1Xm35cjuw/oOxsTH32pZ98//t\n27T1j3zkIw2fe619H35XRG7BkwYngD8BMMYcFpGvAi/itZP7gDGmXO+8iqJ0Jy3t+1Dd/6+Av2rG\nKEVROkf3xMsURekKuicHt4o/1losFimXy9iQZaFQcKW8bNkzm5PQ29vr0mPL5XKgZLzVVeDpP3uN\nWi1aKpWc/v3Wt77lSpXZcvI2X8LPq171KiYnJ90y4Cul6HYqLRa8ZzI3N8fJkyfxh4CTyaSzZWho\nKNC8thmsHyifz7vmu9PT00xNTbk0a2MMkUjE5ZtMTU0BuKbBjdCIfwguzznws9b8g9rly/VybNqB\n/9x+/5v/b77e542iMwVFUQLooKAoSgAdFBRFCdA1PoUDBw4AXqzVljNbXl7mzJkzTrvZrtLgLVnu\n7+9neHgY8Ep4xWIxlpaWrlhKzJZ4A9i+fbvzIZRKJfL5PEePHgVg165dTuPa/f1dlm0W5oULF1ha\nWuLkyZMADZUw8+dArBfFYpGpqSkmJyfdM4xEImzatMl10E6n0y3NTwCv5NvMzIw7/9LSknvmtqt1\nuVwmGo3y/PPPr/o6V/IVQPv8OPWWL1vf1Vp0/Gpp5F7Wer86U1AUJYAOCoqiBOgK+bCwsODShAcH\nB13I6uzZs5w9e9aFqEql0mVVk/2pxKVSiVwux9LS0oqVg8rlcqBDkg1L2mXZtipQJBJh69atwKWp\nsJ1aDw4Oumnpvn376oYqr0SjYbRmqFQqLkxaLBbJ5/MsLy+Tz+fd/e/du5fnn3/eVTxajXQoFovu\nuRSLRfc9VCoVjDEunJvNZt3zscfYfUOhEPF4nEQiwczMDG9605tWdY82lNipZcy1S5Nrly5vVHSm\noChKAB0UFEUJ0BXyAYKeUuudtlLATj/9U89iscj8/LxrLCIibtXk4uKiiwLUrlSsVCqBjDmbwWfl\ng5UutvGpxRYXBUgkEtxwww2AN4VttGnKlVZutgL/tL1SqTA3NwfA7Owsc3NzjIyM0NPT47JAL1y4\nwJ133rnq1YlWptnVjrFYzK0gBU962fdDQ0OBLNRoNOrkSjKZpK+vj7vvvpvh4eGuqWrUKLUrFf0S\neCOjMwVFUQLooKAoSgAdFBRFCdBIkZXHgbcD540xr65u+wrwyuoug0DaGHNLterzEeBo9bNnjDHv\nX61R/nBWqVRymtTP0tIS2WzW+Qzs73A4jIi48NqVwmx2lR5c8iHYkKTfn2Cx+/b09LiVhnY/61eI\nRqPO91C7YnKllZvN4Pch+FeULi0tOTsKhQKxWIxoNEoqlXKVllKplKuKvRpyuRxnzpxxjXuj0ah7\nNnZlq733XC4XCEEmEgk2bfLq/N5www309fURiUTW1ACmExWP6l3LZjBudF+CpREP02eBfwY+bzcY\nY+63r0Xkk4Dfa3bcGHNLqwxUFGV9aarvg3j/BdwH3NlasxRF6RTNhiTfCEwbY37t2zYuIs8DC8B/\nNcb8v9We1E7JS6WSmx7XfmaMqSsravGHJP3TWPCm1TY82dfXRzQaveI5bYbg+fPnXbgvEokQCoXc\n9Lmvr49t27a5z1ayyYY+wZMe/j6KkUgkcOxKz6BUKjmb5ufnKZfL7rynT592UqJSqRAKhdi+fTtj\nY2PuWnb6v1psT0gbdrRhYSBwX+BJLStjkskkiUSC3bt3A96zWktRl04VN6nlWpELtTQ7KDwAfMn3\n/hzwn4wxF0Xkt4B/FZGbjTELtQeKyCPAI4DrSqQoSudZc/RBRCLAfwG+YrcZY/LGmIvV1z8BjgOv\nqHe8NoNRlO6kmZDkW4BfGWNcYQARGbENZUVkN17fh4nmTFQUZT1ZU98HY8xn8LpLf6lm9zcBfyEi\nJaAMvN8YM0sH8YcW7WvrN7AFWcHT/1dKV65UKm5fv24WkYDfIh6Pc+6c1yfHr5f9++VyOdLptCvo\ncuutt7oU2c2bN7Nly5ZAiM+meafTaRKJhLN/dnbWhVBLpRIzMzOBNG3rb0gmk2zevJnNmzeTSqWa\nLs5q/Tn+52Ftsung1l+RTCYZHx93z6anp8eFH9fqT+hkcZPfBNba9wFjzHvrbPsa8LXmzVIUpVNo\nRqOiKAF0UFAUJUDXLJ1eiZ6enkB6sdXQ+Xw+UPEoFovR09OzYsUle4z/OFslqBmMMYFz+But+BER\nZ3s6neZHP/oRx48fB+B73/teINZulzaD51M4ceKEe3/8+HHn+wiFQi5mb3W9zWmwlanAW768a9cu\n+vr6Gl7mfSWsf8R+L7W+k1Qq5fwIw8PDzoew1rwICOYmWF/CwsIC/f3910zFo25BZwqKogTQQUFR\nlAA6KCiKEqArfQpWg6ZSKUKhELt27QKCPoWJiYnLfAq7d+++qk/Bf1yhUHBNXVKp1IrH1voi1oJ/\nrcaRI0dYWFhwvojdu3czNDQEeOscSqUSe/bsASCTyZDJZABcUxV7ntrya3BJt6dSKW688Ub3OhaL\ntax5rK3CbNdQpFIp5wcxxhCNRhkZGQFw+zRDbW6CbVjb39/PgQMHrpkyaN2CzhQURQmgg4KiKAG6\nUj7Yae71118PEAhp2dTa/v5+JyUAlz57pbBXLpcLHGfTgC0rLXW2ssNO45uVEq985Ss5evQor3yl\nV7xqcHDQhQozmQyRSMQt6bbLnsG759oQqCUUCmGMcRLoxhtvbHqJ9EpYeeBf0m3lQjgcJhwOr7pC\n9NXwN16xq2qtdFDZ0Fp0pqAoSgAdFBRFCaCDgqIoAbrap1AvhGb1cTwedx2FGiUej6/pOOuLsKGw\n2nAosGL6dT3bBwcHue2225wW9mt+YwzZbNaF4G644QYXWrQ+EOtTqO1+BTifwtX8K80QDoeJx+OB\nitT+atbtoLYbE6D+hDahMwVFUQJcdVAQkTER+a6IHBGRwyLyoer2IRH5joj8uvp7U3W7iMg/icgx\nEfm5iNza7ptQFKV1NDJTKAF/aox5FXA78AERuQn4KPC0MWYP8HT1PcBb8cqw7cErzPqpllutKErb\naKTy0jm8Ks0YYzIicgTYAdyDV6YN4HPA94A/q27/vPGE7zMiMigio9XzbEisL8Lq5docCWDF9Ot6\n+8RisSvmOeTzeZe2HIlEulI3R6PRtvkPaqnXjal2u9I6VuVTqDaFeS3wI2Cr/Yde/b2lutsO4LTv\nsMnqNkVRNgANDwoiksSrv/jhen0c/LvW2XZZCp6IPCIiz4nIcysVJlEUZf1paFAQkSjegPBFY8zX\nq5unRWS0+vkocL66fRLwd0/dCZytPaf2fVCU7qSREu8CfAY4Yoz5e99H3wQeBP66+vsbvu0fFJEv\nA7cB8xvZn+DnSjkSK63J8HMlv4M/z6FSqVzWTfs3HfUfrB+NJC+9HvhD4Bci8kJ128fxBoOvisj7\ngFPAu6ufPQm8DTgGLAMPtdRiRVHaSiPRh3+nvp8A4K46+xvgA03apShKh+jKNOeNSCPp11eSGH5p\nUSqVGBgYANqXNqxcqhDtR2WKpjkrilKDDgqKogRQ+bCONBq9KBQKbrVjq4qtKkH8xWAPHTrkVl6q\nfNCZgqIoNeigoChKAB0UFEUJoD6FLsHvb1Dai/Un2Ea1gKsi9epXv7pTZnUNOlNQFCWADgqKogTQ\nQUFRlADqU1B+I/F3nIJL1aIVnSkoilKDDgqKogRQ+aD8xjE4OMhHPvIRDh8+DMBTTz2loUgfOlNQ\nFCWADgqKogTQQUFRlABim5V21AiRGWAJuNBpW5pgMxvbftj497DR7Yf23sN1xpiRq+3UFYMCgIg8\nZ4zZ22k71spGtx82/j1sdPuhO+5B5YOiKAF0UFAUJUA3DQqPddqAJtno9sPGv4eNbj90wT10jU9B\nUZTuoJtmCoqidAEdHxREZL+IHBWRYyLy0U7b0ygickJEfiEiL4jIc9VtQyLyHRH5dfX3pk7b6UdE\nHheR8yLyS9+2ujaLxz9Vv5efi8itnbPc2VrP/k+IyJnq9/CCiLzN99nHqvYfFZHf74zVlxCRMRH5\nrogcEZHDIvKh6vbu+g6MMR37AcLAcWA3EAN+BtzUSZtWYfsJYHPNtr8FPlp9/VHgbzptZ419bwJu\nBX55NZvx+oF+C69l4O3Aj7rU/k8AH6mz703Vv6ceYLz6dxbusP2jwK3V1yngpaqdXfUddHqm8Drg\nmDFmwhhTAL4M3NNhm5rhHuBz1defA97RQVsuwxjzb8BszeaVbL4H+LzxeAYYFJHR9bG0PivYvxL3\nAF82xuSNMS/jNTx+XduMawBjzDljzE+rrzPAEWAHXfYddHpQ2AGc9r2frG7bCBjg2yLyExF5pLpt\nqzHmHHh/AMCWjlnXOCvZvJG+mw9Wp9eP+yRbV9svIruA1wI/osu+g04PCvW6WW+UcMjrjTG3Am8F\nPiAib+q0QS1mo3w3nwKuB24BzgGfrG7vWvtFJAl8DfiwMWbhSrvW2db2e+j0oDAJjPne7wTOdsiW\nVWGMOVv9fR54Am9qOm2nd9Xf5ztnYcOsZPOG+G6MMdPGmLIxpgIc5JJE6Er7RSSKNyB80Rjz9erm\nrvoOOj0o/BjYIyLjIhID3gN8s8M2XRUR6RORlH0N/B7wSzzbH6zu9iDwjc5YuCpWsvmbwB9VPeC3\nA/N2ittN1Gjsd+J9D+DZ/x4R6RGRcWAP8Ox62+dHRAT4DHDEGPP3vo+66zvopDfW52F9Cc87/Oed\ntqdBm3fjebZ/Bhy2dgPDwNPAr6u/hzpta43dX8KbYhfx/hd630o2401d/2f1e/kFsLdL7f9C1b6f\n4/0jGvXt/+dV+48Cb+0C+9+AN/3/OfBC9edt3fYdaEajoigBOi0fFEXpMnRQUBQlgA4KiqIE0EFB\nUZQAOigoihJABwVFUQLooKAoSgAdFBRFCfD/AfrFnTRqjxp4AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "batch2:\n",
      "6 9 6 0\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8 7 8 2\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7 7 6 9\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAD8CAYAAAB+fLH0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_tfrecord('captcha/test.tfrecord', batch_num=3, batch_size=3)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
